Theory on Double Action Games with Entropy, vol. 1

The author has proposed the situation analysis of double action game with entropy for a long time and has made many preliminary research results. Some achievements have been applied in the field of computer science and robotics. This book has improved and perfected the previous work of this author. The first volume introduces entropy theory, establishes a new theory of special type of matrix game, the well-known examples, such as stag hunt, game of chicken, battle of the sexes, bread and strawberry jam, prisoners' dilemma, game of boxed pigs (or rational pigs), negative games and so forth, of classical games have more innovative and rigorous theoretical structures. The rest of the volume is a rigorous theory of N-person double action game, namely, N-person formal game whose every player has two and only two pure actions.